Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
368 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19098966 | C2 | semidirect |
| 3. #19098942 | C2 | semidirect |
| 4. #19098915 | C2 | semidirect |
| 5. #19098913 | C2 | semidirect |
| 7. C4×#11929614 | C2 | semidirect |
| 73. C2×C4×C79 | Q16 | semidirect |
| 105. C79 | #3170 | semidirect |
| 182. C2×C4 | #11929614 | semidirect |